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Studies in Molecular Dynamics. IV. The Pressure, Collision Rate, and Their Number Dependence for Hard Disks
Abstract
The pressure for four, 12, and 72 hard disks determined dynamically from the virial theorem or the collision rate is shown to be identical to that determined by the Monte Carlo method. To show this equivalence, it is necessary to take into account that the center-of-mass velocity is kept fixed in the dynamic system. This numerical agreement suggests the validity of the quasiergodic hypothesis even for small systems. The (lnN)/N dependence of the phase-transition pressure on the number of particles N is simply explained in terms of the communal entropy.
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Citations
Cited by
Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
A unified formulation of the constant temperature molecular dynamics methods
Nosé, S. (1984) · The Journal of Chemical Physics · doi:10.1063/1.447334 · Cited by 19,152
Melting Transition and Communal Entropy for Hard Spheres
Hoover, W. G., & Ree, F. H. (1968) · The Journal of Chemical Physics · doi:10.1063/1.1670641 · Cited by 1,449
Self-citationMonte Carlo Calculations for Hard Disks in the Isothermal-Isobaric Ensemble
Wood, W. W. (1968) · The Journal of Chemical Physics · doi:10.1063/1.1667938 · Cited by 260
Metadata
- Authors
- Hoover, W. G., & Alder, B. J.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1967-01-15
- Volume
- 46
- Issue
- 2
- Pages
- 686-691
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2057908085
- Cited by
- 178
- References
- 0
- FWCI
- 4.83
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Studies in Molecular Dynamics. IV. The Pressure, Collision Rate, and Their Number Dependence for Hard Disks. https://app.cochat.ai/papers/10.1063/1.1840726
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- Hoover, W. G., & Alder, B. J. (1967). Studies in Molecular Dynamics. IV. The Pressure, Collision Rate, and Their Number Dependence for Hard Disks. The Journal of Chemical Physics. https://doi.org/10.1063/1.1840726
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